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Simplifying 4(3x + 2) = 2(2 + x) Reorder the terms: 4(2 + 3x) = 2(2 + x) (2 * 4 + 3x * 4) = 2(2 + x) (8 + 12x) = 2(2 + x) 8 + 12x = (2 * 2 + x * 2) 8 + 12x = (4 + 2x) Solving 8 + 12x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 12x + -2x = 4 + 2x + -2x Combine like terms: 12x + -2x = 10x 8 + 10x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 10x = 4 + 0 8 + 10x = 4 Add '-8' to each side of the equation. 8 + -8 + 10x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 4 + -8 10x = 4 + -8 Combine like terms: 4 + -8 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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